“…The optical waveguides combined with a vertical-transition structure developed on a silicon substrate [15]- [17] or a silicon-on-insulator (SOI) substrate [10]- [14], [18] to form a vertical-coupling configuration have received great attention in the recent years [10]- [18]. Several approaches were proposed to realize the vertical-transition structures, such as the grating coupler [10], the threedimensional (3-D) taper [11], [12], the vertically integrated multimode interferometer (MMI) coupler [13], [14], the through-silicon photonic via (TSPV) combined the grating coupler [15], and the reflective mirrors [16]- [25]. Among those approaches, the grating coupler, the vertically integrated MMI coupler, and the TSPV combined with a grating coupler can couple optical power in the vertical direction within a very compact region.…”